利用反演技巧与生成函数，把Vinh关于错排数的两个恒等式推广到更一般的情况。
By inverse technique and generating function, we generalize Vinh's two identities of derangements to a more setting.
变更错排问题的限制条件，利用棋子多项式的性质建立递推关系，推出两个问题的排列数公式。
The limited condition of alternate permutation to utilize character of chessman polgnomial sets up recurrence relations and educes two math question about formula of permutation figure.
对话的文字完全按照当时鉴定人员和人工智能程序文字输出的情形记录下来，包括拼错的单字和错排。
The following text is printed exactly as it was created by the judges and the AI programs, including misspellings and typographical errors.
同时，用等步长优化方法对管间距进行优化设计，确定了最佳肋效率时顺排扁管和错排扁管的管间距。
The Design Optimization is completed by using equal step method, the tube distances of best fin efficiency are obtained.
在不同射流角度的错排射流的冷却通道中，大射流从射流孔冲击出来后在通道内形成旋涡，并使旋涡变得更强烈。
In the investigated cooling channel with different Angle stagger jets, the big jets cause swirl flow in the middle of channel and make the swirl flow stronger.
通过实验与工业用基本型封头对比，结果表明错排孔板型封头能够明显地改善换热器出口截面流量和温度分布的不均匀性。
Compared with the ordinary header, the experimental results show that staggered perforated plate header greatly improves the distribution of outlet flow and outlet temperature.
本文提出了一种全新的综放工作面通风系统：顶层瓦斯巷小煤柱外错底层回风顺槽布置，具体是一种放顶煤工作面顶板排瓦斯巷位置的改进。
This paper proposes a new working face ventilation system: top gas tunnel small pillar outside the bottom return air laneway layout, in other words, which is gas tunnel location evolution.
本文提出了一种全新的综放工作面通风系统：顶层瓦斯巷小煤柱外错底层回风顺槽布置，具体是一种放顶煤工作面顶板排瓦斯巷位置的改进。
This paper proposes a new working face ventilation system: top gas tunnel small pillar outside the bottom return air laneway layout, in other words, which is gas tunnel location evolution.
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